JOURNAL ARTICLE

Estimations of the elastic moduli of three-phase composites with two different ellipse inclusions randomly distributed in the matrix.

  • Published In: International Journal of Computational Materials Science & Engineering, 2025, v. 14, n. 3. P. 1 1 of 3

  • Database: Applied Science & Technology Source Ultimate 2 of 3

  • Authored By: Nguyen, Van-Luat 3 of 3

Abstract

A new method called the polarization approximation (PA) is constructed from the minimum energy principle; in this work, we construct a new approximation formula based on PA to determine the elastic moduli for three-phase composite materials with two different ellipse inclusions randomly distributed in the matrix. Some solutions with different approaches including PA, Mori–Tanaka approximation (MTA), differential approximations (DA), and fast Fourier transformation (FFT) method are constructed to estimate the elastic bulk and shear modulus of the three-phase composites in 2D. The numerical solutions using FFT analysis are compared with PA, DA, MTA, and Hashin–Shtrikman's bounds. The comparison results show the effectiveness of the approximation methods, which makes MTA, PA, and DA useful with simplicity and ease of application. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Computational Materials Science & Engineering. 2025/09, Vol. 14, Issue 3, p1
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2025
  • ISSN:20476841
  • DOI:10.1142/S2047684124500015
  • Accession Number:187281613
  • Copyright Statement:Copyright of International Journal of Computational Materials Science & Engineering is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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